TSTP Solution File: LCL025-1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : LCL025-1 : TPTP v8.2.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n013.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue May 21 00:24:26 EDT 2024
% Result : Unsatisfiable 15.22s 2.57s
% Output : Refutation 15.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 4
% Syntax : Number of formulae : 22 ( 15 unt; 0 def)
% Number of atoms : 30 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 17 ( 9 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 62 ( 62 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f95240,plain,
$false,
inference(resolution,[],[f94628,f5]) ).
fof(f5,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c0_1) ).
fof(f94628,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2)))),
inference(resolution,[],[f51687,f1849]) ).
fof(f1849,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f149,f1161]) ).
fof(f1161,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X2,X0),X1)))
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1124,f1]) ).
fof(f1,axiom,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f1124,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X0),X2)),implies(X0,X2))),
inference(resolution,[],[f147,f7]) ).
fof(f7,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_2) ).
fof(f6,plain,
! [X0,X1] :
( ~ is_a_theorem(X1)
| is_a_theorem(implies(X0,X1)) ),
inference(resolution,[],[f1,f2]) ).
fof(f147,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X1)))
| is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(X0,X2))) ),
inference(resolution,[],[f43,f1]) ).
fof(f43,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X2)),implies(X0,X1)),implies(implies(X0,implies(X1,X2)),implies(X0,X2)))),
inference(resolution,[],[f31,f4]) ).
fof(f4,axiom,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,implies(X1,X2)),implies(implies(X0,X1),implies(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c0_6) ).
fof(f31,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(X1,X2)))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f4,f1]) ).
fof(f149,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(implies(X1,implies(X2,X3)),implies(X1,X2)),implies(implies(X1,implies(X2,X3)),implies(X1,X3))))),
inference(resolution,[],[f43,f6]) ).
fof(f51687,plain,
! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(X0,implies(implies(X3,X1),X2)))
| is_a_theorem(implies(X0,implies(X1,X2))) ),
inference(resolution,[],[f27522,f1]) ).
fof(f27522,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(implies(X0,implies(implies(X1,X2),X3)),implies(X0,implies(X2,X3)))),
inference(resolution,[],[f27413,f1290]) ).
fof(f1290,plain,
! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(implies(X0,X1),implies(X0,X2))) ),
inference(resolution,[],[f1184,f1]) ).
fof(f1184,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X2,X0),implies(X2,X1)))),
inference(resolution,[],[f1161,f32]) ).
fof(f32,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(X2,X3)),implies(implies(X1,X2),implies(X1,X3))))),
inference(resolution,[],[f4,f6]) ).
fof(f27413,plain,
! [X2,X0,X1] : is_a_theorem(implies(implies(implies(X0,X1),X2),implies(X1,X2))),
inference(resolution,[],[f1164,f1161]) ).
fof(f1164,plain,
! [X2,X3,X0,X1] : is_a_theorem(implies(X0,implies(implies(X1,implies(implies(X2,X1),X3)),implies(X1,X3)))),
inference(resolution,[],[f1124,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.13 % Problem : LCL025-1 : TPTP v8.2.0. Released v1.0.0.
% 0.05/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.16/0.36 % Computer : n013.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon May 20 00:51:23 EDT 2024
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % (16264)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.40 % (16266)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.23/0.40 % (16265)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40 % (16267)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.23/0.40 % (16268)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.23/0.40 % (16269)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.23/0.40 % (16270)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.23/0.40 % (16271)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.23/0.40 TRYING [1]
% 0.23/0.40 TRYING [1]
% 0.23/0.40 TRYING [1]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [1]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [2]
% 0.23/0.40 TRYING [3]
% 0.23/0.40 TRYING [3]
% 0.23/0.40 TRYING [3]
% 0.23/0.40 TRYING [3]
% 0.23/0.41 TRYING [4]
% 0.23/0.41 TRYING [4]
% 0.23/0.41 TRYING [4]
% 0.23/0.41 TRYING [4]
% 0.23/0.44 TRYING [5]
% 0.23/0.45 TRYING [5]
% 0.23/0.45 TRYING [5]
% 0.23/0.45 TRYING [5]
% 1.56/0.61 TRYING [6]
% 1.56/0.62 TRYING [6]
% 1.56/0.62 TRYING [6]
% 1.56/0.63 TRYING [6]
% 7.94/1.50 TRYING [7]
% 7.94/1.53 TRYING [7]
% 7.94/1.53 TRYING [7]
% 8.42/1.55 TRYING [7]
% 15.22/2.57 % (16269)First to succeed.
% 15.22/2.57 % (16269)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-16264"
% 15.22/2.57 % (16269)Refutation found. Thanks to Tanya!
% 15.22/2.57 % SZS status Unsatisfiable for theBenchmark
% 15.22/2.57 % SZS output start Proof for theBenchmark
% See solution above
% 15.22/2.57 % (16269)------------------------------
% 15.22/2.57 % (16269)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 15.22/2.57 % (16269)Termination reason: Refutation
% 15.22/2.57
% 15.22/2.57 % (16269)Memory used [KB]: 20583
% 15.22/2.57 % (16269)Time elapsed: 2.172 s
% 15.22/2.57 % (16269)Instructions burned: 4319 (million)
% 15.22/2.57 % (16264)Success in time 2.19 s
%------------------------------------------------------------------------------